Quantum secret sharing with two qubit bipartite mixed states

TL;DR

This paper introduces a novel quantum secret sharing protocol using bipartite two-qubit mixed states, demonstrating its effectiveness despite environmental noise and ensuring collaboration is necessary for information retrieval.

Contribution

It is the first to utilize bipartite two-qubit mixed states in quantum secret sharing, expanding the scope beyond pure entangled states.

Findings

Mixed states can be effectively used for secret sharing.

Collaboration is essential for information recovery.

Shared mixed states retain useful properties for quantum protocols.

Abstract

Quantum secret sharing is one of the most important and interesting quantum information processing task. In quantum secret sharing, information is split among several parties such that only one of them is able to recover the qubit exactly provided all the other parties agree to cooperate. To achieve this task, all the parties need to share entangled state. As far as my knowledge, all the previous quantum secret sharing protocol used either pure tripartite or pure bipartite entangled state. In this work we use for the first time bipartite two qubit mixed state (formed due to noisy environment) in quantum secret sharing scheme. We further show that one party cannot extract the information without the collaboration of other party. We also study the property of the shared mixed state used in the quantum secret sharing scheme.